Around cofin

• Autorzy: Andrzej Rosłanowski , Saharon Shelah
• Języki publikacji: EN

Abstrakty

EN

We show the consistency of "there is a nice σ-ideal ℐ on the reals with add(ℐ) = ℵ₁ which cannot be represented as the union of a strictly increasing sequence of length ω₁ of σ-subideals". This answers [Borodulin-Nadzieja and Głąb, Math. Logic Quart. 57 (2011), 582-590, Problem 6.2(ii)].

Kategorie tematyczne

• 03E17: Cardinal characteristics of the continuum
• 03E35: Consistency and independence results

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2014
• Tom: 134
• Numer: 2
• Strony: 211-225

Daty

wydano

2014

Twórcy

autor

Andrzej Rosłanowski

• Department of Mathematics, University of Nebraska at Omaha, Omaha, NE 68182-0243, U.S.A.

autor

Saharon Shelah

• Institute of Mathematics, The Hebrew University of Jerusalem, 91904 Jerusalem, Israel
• Department of Mathematics, Rutgers University, New Brunswick, NJ 08854, U.S.A.

Identyfikatory

DOI

10.4064/cm134-2-5